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221221140 = 22357526717
BaseRepresentation
bin11010010111110…
…01000100010100
3120102021012100120
431023321010110
5423113034030
633541311540
75324230410
oct1513710424
9512235316
10221221140
11103967798
12621055b0
1336aa74aa
1421547d40
151464c010
hexd2f9114

221221140 has 48 divisors (see below), whose sum is σ = 707908992. Its totient is φ = 50564736.

The previous prime is 221221127. The next prime is 221221213. The reversal of 221221140 is 41122122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262939 + ... + 263778.

It is an arithmetic number, because the mean of its divisors is an integer number (14748104).

Almost surely, 2221221140 is an apocalyptic number.

221221140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221221140 is an abundant number, since it is smaller than the sum of its proper divisors (486687852).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

221221140 is a wasteful number, since it uses less digits than its factorization.

221221140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526736 (or 526734 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 221221140 is about 14873.5046307183. The cubic root of 221221140 is about 604.7959514965.

Adding to 221221140 its reverse (41122122), we get a palindrome (262343262).

The spelling of 221221140 in words is "two hundred twenty-one million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 526717 1053434 1580151 2106868 2633585 3160302 3687019 5267170 6320604 7374038 7900755 10534340 11061057 14748076 15801510 18435095 22122114 31603020 36870190 44244228 55305285 73740380 110610570 221221140